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Finding the Fourth Proportional to 17,742.74, 26,620.38 and 7,881.12

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Solution

The fourth proportional to 17,742.74, 26,620.38 and 7,881.12 is: 11,824.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,742.74 : 26,620.38 = 7,881.12 : x
  2. Step 2: Convert to fraction form
    17,742.74/26,620.38 = 7,881.12/x
  3. Step 3: Cross multiply
    17,742.74x = 26,620.38 × 7,881.12
  4. Step 4: Simplify right side
    17,742.74x = 209,798,409.23
  5. Step 5: Solve for x
    x = 209,798,409.23/17,742.74
  6. Step 6: Final answer
    x = 11,824.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.